A uniform slab of dimension `10cmxx10cmxx1cm` is kept between two heat reservoir at temperatures `10^(@)C` and `90^(@)C`. The larger surface areas touch the reservoirs. The thermal conductivity of the material is `0.80Wm^(-1)C^(-1)` . Find the amount of heat flowing through the slab per minute.
Text Solution
Verified by Experts
The correct Answer is:
`64 J`
`A = 100 cm^(2)` `i_(H) = (90 -10)/((1xx10^(-2))) xx (0.8) (100 xx 10^(-4))` `l = 1cm` `(dq)/(dt) = i_(H) = 80 xx 0.8 = 64 J//s` `Q = 64 xx 1 = 64 J`
One of the faces of a copper cube of side 7.7 cm is maintained at 100°C and the opposite face at 30°C. If the thermal conductivity of copper is 385 "Wm"^(-1) "K"^(-1) . Calculate the rate of heat flow through the cube?
A closed cubical box is made of perfectly insulating material and the only way for heat to enter or leave the box is through two solid cylindrical metal plugs, each of cross sectional area 12cm^(2) and length 8cm fixed in the opposite walls of the box. The outer surface of one plug is kept at a temperature of 100^(@)C . while the outer surface of the plug is maintained at a temperature of 4^(@)C . The thermal conductivity of the material of the plug is 2.0Wm^(-1)C^(-1) . A source of energy generating 13W is enclosed inside the box. Find the equilibrium temperature of the inner surface of the box assuming that it is the same at all points on the inner surface.
A heat source at T = 10^(3) K is connected to another heat reservoir at T = 10^(2) K by a copper slab which is 1 m thick. Given that the thermal conductivity of copper is 0.1 WK^(-1)m^(-1) , the energy flux through it in steady state is :
A falt-bottom kettle placed on a stove is being used to boil water. The area of the bottom is 270cm^(2) the thickness is 0.3 cm and the thermal conductivity of the material is 0.5 "cal"//s cm^(@)C . If the amount of steam being produced in the kettle is at the rate of 10 g per minute calculate the difference of temperature between the inner and outer surfaces of the bottom. The latent heat of steam is 540 "cal"//gm .
Steam at 373 K is passed through a tube of radius 10 cm and length 10 cm and length 2m . The thickness of the tube is 5mm and thermal conductivity of the material is 390 W m^(-1) K^(-1) , calculate the heat lost per second. The outside temperature is 0^(@)C .
A metal rod of cross sectional area 1.0cm^(2) is being heated at one end. At one time , the temperature gradient is 5.0^(@)C cm^(-1) at cross section A and is 2.5^(@)Ccm^(-1) at cross section B. calculate the rate at which the temperature is increasing in the part AB of the rod. The heat capacity of the part AB =0.40J^(@)C^(-1) , thermal conductivity of the material of the rod. K=200Wm^(-1)C^(-1) . Neglect any loss of heat to the atmosphere.
A cylindrical metallic rod 0.5 m long conduct heat at the rate of 50 "Js"^(-1) when its ends are kept a 400^(@) C and 0^(@) C respectively. Coefficient of thermal conductivity of metal is 72 "Wm"^(-1) "K"^(-1) . What is the diameter of rod?
An iron boiler is 1 cm thick and has a heating area 2.5 m^(2) . The two surface of the boiler are at 230^(@)C and 100^(@)C respectively. If the latent heat of the steam is 540 kcal kg^(-1) and thermal conductivity of iron is 1.6xx10^(-2)K cal s^(-1) m^(-1)K^(-1) , then how much water will be evaporated into steam per minute ?
One face of a copper cube of edge 10 cm is maintained at 100^(@)C and the opposite face is maintained at 0^(@)C . All other surfaces are covered with an insulating material. Find the amount of heat flowing per second through the cube. Thermal conductivity of copper is 385Wm^(-1) C^(-1) .
1.56 × 10^5 J of heat is conducted through is 2 m^2 wall of 12 cm thick in one hour. Temperature difference between the two sides of the wall is 20 ^@C. The thermal conductivity of the material of the wall is (in Wm ^(-1) K^(-1) )
